The Millers face a winding-up order, due to be heard on May 10, over an unpaid PAYE tax bill of £571,363.
Now the Yorkshire side have asked creditors for a voluntary arrangement which will see them go into administration.
Although the club say they are confident it will be accepted, they have warned the club will go out of business if it is not.
As a result of going into administration, the Millers will be hit with a 10 point deduction. With League One survival almost certain, this means they will start next term on -10, as the administration will not come into effect until after this season has ended.
Chairman Denis Coleman said: "If the proposal is not accepted the club will go out of existence.
"Despite an incredible effort and substantial investment, in order for the club to survive we must implement a voluntary agreement with creditors to avoid liquidation which has been threatened by the Inland Revenue.
"The new board has been working around the clock for the last few weeks, but the club has no other option but to make this proposal to its creditors."